American mathematician Dennis Sullivan has been awarded the 2022 Abel Prize, one of the most prestigious awards in mathematics, for his contributions to the fields of topology and dynamical systems.
according to a statement by the Norwegian Academy of Sciences and Literature (DNVA), which awards the prize each year along with an approximately US$864,000 (7.5 million Norwegian kroner) award, Sullivan was “recognized for his pioneering contributions to topology at its broadest Senses” awarded. and in particular its algebraic, geometric and dynamic aspects.”
Topology is the study of properties of objects and spaces that do not change when deformed. The field is sometimes referred to as “rubber sheet geometry” because objects like rubber can be stretched into different shapes but not broken University of Waterloo in Ontario. For example, a square can be deformed into a circle without breaking, but a donut shape cannot. So a square is topologically equivalent to a circle, but a donut is not.
Sullivan, now Professor of mathematics at Stony Brook University in New York, was born on February 12, 1941 in Port Huron, Michigan. He began studying topology as a graduate student at Princeton University in the early 1960s. His 1966 PhD thesis, entitled “Triangulating Homotopy Equivalences,” helped revolutionize the study of manifolds, spaces that appear flat from any point on their surface but have a more complicated overall structure (like the surface of a sphere), according to the DNVA.
In the following decades, Sullivan held fellowships at the University of Warwick in England; the University of California, Berkeley; and with.
“During this period, he gradually changed the way mathematicians thought about algebraic and geometric topology, introducing new ideas and building a new vocabulary,” according to DNVA. “In 1970 he wrote a series of unpublished notes that were widely circulated and considered enormously influential, directly influencing the classification of smooth manifolds and central problems in algebraic topology.” (These so-called MIT notes were eventually published in 2006.)
In the late 1970s Sullivan began to study problems in dynamical systems, which is the study of a point moving through a geometric space and a fundamental part of it chaos theory. His work combined dynamical systems and algebraic topology in an unprecedented way. In 1985, Sullivan proved a 60-year-old conjecture that points moving in fractal patterns through complex dynamical systems eventually return to where they started, rather than wandering around endlessly Quanta Magazine.
“Dennis P. Sullivan has repeatedly changed the landscape of topology by introducing new concepts, proving pioneering theorems, answering old conjectures, and posing new problems that have advanced the field,” said Hans Munthe-Kaas, chairman of the Abel Committee , in the DNVA statement. “I’m not sure if he sees the boundaries between different areas of mathematics in the same way as others do.”
For more, read a full biography of Sullivan and his career highlights, Courtesy of DNVA.
Originally published on Live Science.
American mathematician Dennis Sullivan wins prestigious Abel Prize Source link American mathematician Dennis Sullivan wins prestigious Abel Prize